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A Deep Neural Network Optimization Framework Based on Optimal Transport Bridge Feature Selection and Sparse

Guipeng Lan, Shuai Xiao, Jiabao Wen

    IEEE Transactions on Neural Networks and Learning Systems
    |April 17, 2026
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    Summary
    This summary is machine-generated.

    This study introduces informative sparse transport (IST), a novel framework unifying feature selection and sparse coding for deep neural networks. IST enhances performance on high-dimensional data by synergistically improving feature extraction and representation.

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    Area of Science:

    • Artificial Intelligence
    • Machine Learning
    • Data Science

    Background:

    • Deep neural networks (DNNs) performance relies on feature selection and sparse representation for high-dimensional data.
    • Previous research treated feature selection and sparse representation as separate mechanisms, overlooking their synergistic potential.
    • A gap exists in understanding the connection and integration of feature selection and sparse representation for DNNs.

    Purpose of the Study:

    • To propose a unified optimization framework, informative sparse transport (IST), integrating feature selection and sparse coding.
    • To leverage optimal transport to harmonize the relationship between feature selection and sparse representation.
    • To enhance DNN performance by addressing challenges in high-dimensional data through improved feature extraction and representation.

    Main Methods:

    • Developed the informative sparse transport (IST) framework as a multiobjective optimization approach.
    • Utilized optimal transport theory to bridge feature selection and sparse representation.
    • Defined feature selection objectives (maximize mutual information, minimize redundancy) and sparse representation objectives (data approximation with minimal features).

    Main Results:

    • The IST framework successfully integrates feature selection and sparse representation into a unified approach.
    • Demonstrated that feature selection and sparse representation are complementary, both focusing on task-relevant information and redundancy reduction.
    • Validated the IST framework on generative and classification tasks, showing improved model performance.

    Conclusions:

    • The IST framework offers a robust solution for enhanced feature extraction and representation in high-dimensional data.
    • Unifying feature selection and sparse representation through IST mitigates challenges associated with complex datasets.
    • The complementary synergy between feature selection and sparse representation within IST significantly boosts DNN model performance.